Efficient simulation of one-dimensional two-phase flow with a high-order \(h\)-adaptive space-time discontinuous Galerkin method
DOI10.1016/j.compfluid.2017.06.010zbMath1390.76388OpenAlexW2624776622MaRDI QIDQ1648423
B. Sanderse, R. A. W. M. Henkes, Maurice H. W. Hendrix, J. S. B. van Zwieten, Kees Vuik
Publication date: 27 June 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.06.010
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Liquid-gas two-phase flows, bubbly flows (76T10) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Compressible fluids and gas dynamics (76Nxx)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Output-based space-time mesh adaptation for the compressible Navier-Stokes equations
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- Space-time discontinuous Galerkin finite element method for two-fluid flows
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Two-phase flow: Models and methods
- A weak formulation of Roe's approximate Riemann solver
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Hybrid flux-splitting schemes for a common two-fluid model
- A space-time adaptive discontinuous Galerkin scheme
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Definition and weak stability of nonconservative products
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- Thermo-Fluid Dynamics of Two-Phase Flow
- A pseudospectral Fourier method for a 1D incompressible two-fluid model
- On some fast well-balanced first order solvers for nonconservative systems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier–Stokes equations
- An adaptive spacetime discontinuous Galerkin method for cohesive models of elastodynamic fracture
- Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model
- On the simulation of three-phase slug flow in nearly horizontal pipes using the multi-fluid model
- Algorithm 832
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONS